Abdu Alameri - Academia.edu (original) (raw)

Papers by Abdu Alameri

Research paper thumbnail of Degree-Based Topological Descriptors of Hexaphenylbenzene Molecule Graphs

Polycyclic Aromatic Compounds

Research paper thumbnail of Computational analysis for eccentric neighborhood Zagreb indices and their significance

Research paper thumbnail of F-coindex of some corona products of graphs

Journal of Discrete Mathematical Sciences and Cryptography, 2021

Research paper thumbnail of The second Hyper-Zagreb index of graph operations

Journal of Mathematical and Computational Science, 2021

A graph can be recognized by numeric number, polynomial or matrix which represent the whole graph... more A graph can be recognized by numeric number, polynomial or matrix which represent the whole graph. Topological index is a numerical descriptor of a molecule, based on a certain topological feature of the corresponding molecular graph, it is found that there is a strong correlation between the properties of chemical compounds and their molecular structure. Zagreb indices are numeric numbers related to graphs. In this study, the second Hyper-Zagreb index for some special graphs, and graph operations has been computed, that have been applied to compute the second Hyper-Zagreb index for Nano-tube and Nano-torus.

Research paper thumbnail of On the hyper-Zagreb coindex of some graphs

Journal of Mathematical and Computational Science, 2020

Research paper thumbnail of New Product Binary Operations on Graphs

Journal of Science and Technology, 2016

In this paper, we introduce new binary operations on graphs. In fact, we obtained some other prod... more In this paper, we introduce new binary operations on graphs. In fact, we obtained some other product operations, called them classic product operations from union of two or more new product operations. We examined the relationship between new binary product operations and classic product operations.

Research paper thumbnail of New product operation on graphs and it's properties

International Mathematical Forum, 2016

Let G and H be two graphs and G c and H c their complement respectively. We define new operation ... more Let G and H be two graphs and G c and H c their complement respectively. We define new operation on graphs, called semi-complete product and denoted by. where G H = (G ∨ H) ∪ (G c × H c). In this paper, we compute some topological indices of G H, such as Wiener index, Hyper-Wiener index, Wiener polarity, Schultz index, Gutman index and other relationship.

Research paper thumbnail of Journal of Discrete Mathematical Sciences and Cryptography

Nowadays, ad hoc networks play a vital role in wireless communication. It is a temporary network ... more Nowadays, ad hoc networks play a vital role in wireless communication. It is a temporary network to relay the data between nodes. Ad hoc network is divided into different types such as MANET, VANET & FANET. FANET is a combination of MANET and VANET. In FANET, routing is a big challenging issue due to unique characteristics like dynamic topology, frequent changes of link quality, mobility of UAV nodes, etc. Reliability of routes is also a real challenge due to the very high mobility in FANET. In this research work, we have introduced an adaptive routing protocol, PF-WGTR-A predicted future weight-based routing scheme for FANETs that considers the node's existing and upcoming values of assured parameters to determine the reliable routing path. This proposed routing protocol assigns weight to every node in the network by calculating the node's future. Depending on the predicted future weight of every node in a network, the communicating nodes can establish a reliable path that persists for a long time. This adaptive, future prediction-based routing scheme ensures better data delivery with minimum overhead and optimized energy consumption in all conditions compared with the existing routing protocols. The NS-2 simulator is used to compare the proposed routing protocol with previous protocols in terms of FANET parameters. Finally, the simulation results show better performance than the existing works.

Research paper thumbnail of Computation Domination and γ-Domination Topological Indices of Hexane Isomers via φ_P-Polynomial with QSPR Analysis

Biointerface Research in Applied Chemistry

The properties that characterize the different chemical compounds are closely related to the mole... more The properties that characterize the different chemical compounds are closely related to the molecular structure of these compounds. A topological index is a number or numerical quantity derived from the graph of a chemical compound. It is used to model compounds' physical and chemical properties and activities, such as hexane isomers. It was presented new topological indices known as the domination and γ- domination topological indices. In this paper, we study the importance and applications of these indicators in determining some physical and chemical properties of hexane isomers. Moreover, the φ_P- polynomial is used in calculating these indices.

Research paper thumbnail of The Second Hyper-Zagreb Coindex of Chemical Graphs and Some Applications

Journal of Chemistry

The second hyper-Zagreb coindex is an efficient topological index that enables us to describe a m... more The second hyper-Zagreb coindex is an efficient topological index that enables us to describe a molecule from its molecular graph. In this current study, we shall evaluate the second hyper-Zagreb coindex of some chemical graphs. In this study, we compute the value of the second hyper-Zagreb coindex of some chemical graph structures such as sildenafil, aspirin, and nicotine. We also present explicit formulas of the second hyper-Zagreb coindex of any graph that results from some interesting graphical operations such as tensor product, Cartesian product, composition, and strong product, and apply them on a q-multiwalled nanotorus.

Research paper thumbnail of ThreeTopological Indices of TwoNewVariants ofGraphProducts

Graph operations play an important role to constructing complex network structures from simple gr... more Graph operations play an important role to constructing complex network structures from simple graphs, and these complex networks play vital roles in different fields such as computer science, chemistry, and social sciences. Computation of topological indices of these complex network structures via graph operation is an important task. In this study, we defined two new variants of graph products, namely, corona join and subdivision vertex join products and investigated exact expressions of the first and second Zagreb indices and first reformulated Zagreb index for these new products.

Research paper thumbnail of The Second Hyper-Zagreb Index of Complement Graphs and Its Applications of Some Nano Structures

Asian Journal of Probability and Statistics

In chemical graph theory, a topological descriptor is a numerical quantity that is based on the c... more In chemical graph theory, a topological descriptor is a numerical quantity that is based on the chemical structure of underlying chemical compound. Topological indices play an important role in chemical graph theory especially in the quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR). In this paper, we present explicit formulae for some basic mathematical operations for the second hyper-Zagreb index of complement graph containing the join G1 + G2, tensor product G1 \(\otimes\) G2, Cartesian product G1 x G2, composition G1 \(\circ\) G2, strong product G1 * G2, disjunction G1 V G2 and symmetric difference G1 \(\oplus\) G2. Moreover, we studied the second hyper-Zagreb index for some certain important physicochemical structures such as molecular complement graphs of V-Phenylenic Nanotube V PHX[q, p], V-Phenylenic Nanotorus V PHY [m, n] and Titania Nanotubes TiO2.

Research paper thumbnail of The F-index and coindex of V-Phenylenic Nanotubes and Nanotorus and their molecular complement graphs

Nanosystems: Physics, Chemistry, Mathematics, 2021

Research paper thumbnail of Topological Indices of Some New Graph Operations and Their Possible Applications

A chemical graph theory is a fascinating branch of graph theory which has many applications relat... more A chemical graph theory is a fascinating branch of graph theory which has many applications related to chemistry. A topological index is a real number related to a graph, as its considered a structural invariant. It’s found that there is a strong correlation between the properties of chemical compounds and their topological indices. In this paper, we introduce some new graph operations for the first Zagreb index, second Zagreb index and forgotten index ”F-index”. Furthermore, it was found some possible applications on some new graph operations such as roperties of molecular graphs that resulted by alkanes or cyclic alkanes.

Research paper thumbnail of Y-coindex of graph operations and its applications of molecular descriptors

Journal of Molecular Structure, 2020

The methods on topological index and topological coindex computation are very suitable and servic... more The methods on topological index and topological coindex computation are very suitable and serviceable for developing countries in which they can yield available medical information about new drugs without chemical experiment. For example, in quantitative structure-activity relationships (QSAR) modelling, the predictors consist of theoretical molecular descriptors of chemicals, while the (QSAR) response-variable could be a biological, pharmacological, medical, ecological activity of the chemicals. Recently, proposed new invariant of this kind is the Y- index defined as: Y ( G ) = ∑ u ∈ V ( G ) δ G 4 ( u ) = ∑ u v ∈ E ( G ) [ δ G 3 ( u ) + δ G 3 ( v ) ] , In this paper, the basic relations between this index and its coindex for a graph G and its complement G ¯ are determined. We compare this new coindex with the other well-known and most used topological indices and coindices in literature by modelling some physicochemical properties of octane isomers. We will find that, the Y-coinde...

Research paper thumbnail of Y-index of some graph operations

Topological indices have important role in theoretical chemistry. Among the all topological indic... more Topological indices have important role in theoretical chemistry. Among the all topological indices the Zagreb indices have been used more considerably than any other topological indices in chemical literature. In this study, the Y-index for some special graphs, and graph operations has been computed, that have been applied to compute the Y-index for Nanotube and Nano-torus. Also the strong/good correlation coefficient between the Y-index and some physical and chemical properties as Acentric factor (Acenfac), Entropy (S),Enthalpy of vaporization (HVAP) and Standard enthalpy of vaporisation (DHVAP) have been Appeared.

Research paper thumbnail of The Second Hyper-Zagreb Coindex of Chemical Graphs and Some Applications

Journal of Chemistry

The second hyper-Zagreb coindex is an efficient topological index that enables us to describe a m... more The second hyper-Zagreb coindex is an efficient topological index that enables us to describe a molecule from its molecular graph. In this current study, we shall evaluate the second hyper-Zagreb coindex of some chemical graphs. In this study, we compute the value of the second hyper-Zagreb coindex of some chemical graph structures such as sildenafil, aspirin, and nicotine. We also present explicit formulas of the second hyper-Zagreb coindex of any graph that results from some interesting graphical operations such as tensor product, Cartesian product, composition, and strong product, and apply them on a q-multiwalled nanotorus.

Research paper thumbnail of Second Hyper-Zagreb Index of Titania Nanotubes and Their Applications

IEEE Access

Topological index is a numerical descriptor of a molecule, based on a certain topological feature... more Topological index is a numerical descriptor of a molecule, based on a certain topological feature of the corresponding molecular graph, it is found that there is a strong correlation between the properties of chemical compounds and their molecular structure. In the other side, titania nanotube is a well-known semiconductor and has numerous technological applications such as biomedical devices, dye-sensitized solar cells, and etc. In this paper, the second Hyper-Zagreb index and their coindex of Titania nanotubes have been computed. Furthermore, strong correlation coefficients between second Hyper-Zagreb index and some physicochemical properties such as Density (DENS), Molar volume (MV), Acentric factor (Acenfac) and Entropy (S) have been Appeared. INDEX TERMS Second hyper-Zagreb coindex, second hyper-Zagreb index, titania nanotube, Zagreb indices. ABDU ALAMERI was born in Bani Amer, Taiz, Yemen. He received the bachelor's degree in mathematics and physics and the master's degree in applied mathematics from Taiz University, and the Ph.D. degree in discrete mathematics from the

Research paper thumbnail of A note on Topological indices and coindices of disjunction and symmetric difference of graphs

Discrete Applied Mathematics

Research paper thumbnail of The forgotten index of complement graph operations and its applications of molecular graph

Open Journal of Discrete Applied Mathematics

A topological index of graph \(G\) is a numerical parameter related to graph which characterizes ... more A topological index of graph \(G\) is a numerical parameter related to graph which characterizes its molecular topology and is usually graph invariant. Topological indices are widely used to determine the correlation between the specific properties of molecules and the biological activity with their configuration in the study of quantitative structure-activity relationships (QSARs). In this paper some basic mathematical operations for the forgotten index of complement graph operations such as join \(\overline {G_1+G_2}\), tensor product \(\overline {G_1 \otimes G_2}\), Cartesian product \(\overline {G_1\times G_2}\), composition \(\overline {G_1\circ G_2}\), strong product \(\overline {G_1\ast G_2}\), disjunction \(\overline {G_1\vee G_2}\) and symmetric difference \(\overline {G_1\oplus G_2}\) will be explained. The results are applied to molecular graph of nanotorus and titania nanotubes.

Research paper thumbnail of Degree-Based Topological Descriptors of Hexaphenylbenzene Molecule Graphs

Polycyclic Aromatic Compounds

Research paper thumbnail of Computational analysis for eccentric neighborhood Zagreb indices and their significance

Research paper thumbnail of F-coindex of some corona products of graphs

Journal of Discrete Mathematical Sciences and Cryptography, 2021

Research paper thumbnail of The second Hyper-Zagreb index of graph operations

Journal of Mathematical and Computational Science, 2021

A graph can be recognized by numeric number, polynomial or matrix which represent the whole graph... more A graph can be recognized by numeric number, polynomial or matrix which represent the whole graph. Topological index is a numerical descriptor of a molecule, based on a certain topological feature of the corresponding molecular graph, it is found that there is a strong correlation between the properties of chemical compounds and their molecular structure. Zagreb indices are numeric numbers related to graphs. In this study, the second Hyper-Zagreb index for some special graphs, and graph operations has been computed, that have been applied to compute the second Hyper-Zagreb index for Nano-tube and Nano-torus.

Research paper thumbnail of On the hyper-Zagreb coindex of some graphs

Journal of Mathematical and Computational Science, 2020

Research paper thumbnail of New Product Binary Operations on Graphs

Journal of Science and Technology, 2016

In this paper, we introduce new binary operations on graphs. In fact, we obtained some other prod... more In this paper, we introduce new binary operations on graphs. In fact, we obtained some other product operations, called them classic product operations from union of two or more new product operations. We examined the relationship between new binary product operations and classic product operations.

Research paper thumbnail of New product operation on graphs and it's properties

International Mathematical Forum, 2016

Let G and H be two graphs and G c and H c their complement respectively. We define new operation ... more Let G and H be two graphs and G c and H c their complement respectively. We define new operation on graphs, called semi-complete product and denoted by. where G H = (G ∨ H) ∪ (G c × H c). In this paper, we compute some topological indices of G H, such as Wiener index, Hyper-Wiener index, Wiener polarity, Schultz index, Gutman index and other relationship.

Research paper thumbnail of Journal of Discrete Mathematical Sciences and Cryptography

Nowadays, ad hoc networks play a vital role in wireless communication. It is a temporary network ... more Nowadays, ad hoc networks play a vital role in wireless communication. It is a temporary network to relay the data between nodes. Ad hoc network is divided into different types such as MANET, VANET & FANET. FANET is a combination of MANET and VANET. In FANET, routing is a big challenging issue due to unique characteristics like dynamic topology, frequent changes of link quality, mobility of UAV nodes, etc. Reliability of routes is also a real challenge due to the very high mobility in FANET. In this research work, we have introduced an adaptive routing protocol, PF-WGTR-A predicted future weight-based routing scheme for FANETs that considers the node's existing and upcoming values of assured parameters to determine the reliable routing path. This proposed routing protocol assigns weight to every node in the network by calculating the node's future. Depending on the predicted future weight of every node in a network, the communicating nodes can establish a reliable path that persists for a long time. This adaptive, future prediction-based routing scheme ensures better data delivery with minimum overhead and optimized energy consumption in all conditions compared with the existing routing protocols. The NS-2 simulator is used to compare the proposed routing protocol with previous protocols in terms of FANET parameters. Finally, the simulation results show better performance than the existing works.

Research paper thumbnail of Computation Domination and γ-Domination Topological Indices of Hexane Isomers via φ_P-Polynomial with QSPR Analysis

Biointerface Research in Applied Chemistry

The properties that characterize the different chemical compounds are closely related to the mole... more The properties that characterize the different chemical compounds are closely related to the molecular structure of these compounds. A topological index is a number or numerical quantity derived from the graph of a chemical compound. It is used to model compounds' physical and chemical properties and activities, such as hexane isomers. It was presented new topological indices known as the domination and γ- domination topological indices. In this paper, we study the importance and applications of these indicators in determining some physical and chemical properties of hexane isomers. Moreover, the φ_P- polynomial is used in calculating these indices.

Research paper thumbnail of The Second Hyper-Zagreb Coindex of Chemical Graphs and Some Applications

Journal of Chemistry

The second hyper-Zagreb coindex is an efficient topological index that enables us to describe a m... more The second hyper-Zagreb coindex is an efficient topological index that enables us to describe a molecule from its molecular graph. In this current study, we shall evaluate the second hyper-Zagreb coindex of some chemical graphs. In this study, we compute the value of the second hyper-Zagreb coindex of some chemical graph structures such as sildenafil, aspirin, and nicotine. We also present explicit formulas of the second hyper-Zagreb coindex of any graph that results from some interesting graphical operations such as tensor product, Cartesian product, composition, and strong product, and apply them on a q-multiwalled nanotorus.

Research paper thumbnail of ThreeTopological Indices of TwoNewVariants ofGraphProducts

Graph operations play an important role to constructing complex network structures from simple gr... more Graph operations play an important role to constructing complex network structures from simple graphs, and these complex networks play vital roles in different fields such as computer science, chemistry, and social sciences. Computation of topological indices of these complex network structures via graph operation is an important task. In this study, we defined two new variants of graph products, namely, corona join and subdivision vertex join products and investigated exact expressions of the first and second Zagreb indices and first reformulated Zagreb index for these new products.

Research paper thumbnail of The Second Hyper-Zagreb Index of Complement Graphs and Its Applications of Some Nano Structures

Asian Journal of Probability and Statistics

In chemical graph theory, a topological descriptor is a numerical quantity that is based on the c... more In chemical graph theory, a topological descriptor is a numerical quantity that is based on the chemical structure of underlying chemical compound. Topological indices play an important role in chemical graph theory especially in the quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR). In this paper, we present explicit formulae for some basic mathematical operations for the second hyper-Zagreb index of complement graph containing the join G1 + G2, tensor product G1 \(\otimes\) G2, Cartesian product G1 x G2, composition G1 \(\circ\) G2, strong product G1 * G2, disjunction G1 V G2 and symmetric difference G1 \(\oplus\) G2. Moreover, we studied the second hyper-Zagreb index for some certain important physicochemical structures such as molecular complement graphs of V-Phenylenic Nanotube V PHX[q, p], V-Phenylenic Nanotorus V PHY [m, n] and Titania Nanotubes TiO2.

Research paper thumbnail of The F-index and coindex of V-Phenylenic Nanotubes and Nanotorus and their molecular complement graphs

Nanosystems: Physics, Chemistry, Mathematics, 2021

Research paper thumbnail of Topological Indices of Some New Graph Operations and Their Possible Applications

A chemical graph theory is a fascinating branch of graph theory which has many applications relat... more A chemical graph theory is a fascinating branch of graph theory which has many applications related to chemistry. A topological index is a real number related to a graph, as its considered a structural invariant. It’s found that there is a strong correlation between the properties of chemical compounds and their topological indices. In this paper, we introduce some new graph operations for the first Zagreb index, second Zagreb index and forgotten index ”F-index”. Furthermore, it was found some possible applications on some new graph operations such as roperties of molecular graphs that resulted by alkanes or cyclic alkanes.

Research paper thumbnail of Y-coindex of graph operations and its applications of molecular descriptors

Journal of Molecular Structure, 2020

The methods on topological index and topological coindex computation are very suitable and servic... more The methods on topological index and topological coindex computation are very suitable and serviceable for developing countries in which they can yield available medical information about new drugs without chemical experiment. For example, in quantitative structure-activity relationships (QSAR) modelling, the predictors consist of theoretical molecular descriptors of chemicals, while the (QSAR) response-variable could be a biological, pharmacological, medical, ecological activity of the chemicals. Recently, proposed new invariant of this kind is the Y- index defined as: Y ( G ) = ∑ u ∈ V ( G ) δ G 4 ( u ) = ∑ u v ∈ E ( G ) [ δ G 3 ( u ) + δ G 3 ( v ) ] , In this paper, the basic relations between this index and its coindex for a graph G and its complement G ¯ are determined. We compare this new coindex with the other well-known and most used topological indices and coindices in literature by modelling some physicochemical properties of octane isomers. We will find that, the Y-coinde...

Research paper thumbnail of Y-index of some graph operations

Topological indices have important role in theoretical chemistry. Among the all topological indic... more Topological indices have important role in theoretical chemistry. Among the all topological indices the Zagreb indices have been used more considerably than any other topological indices in chemical literature. In this study, the Y-index for some special graphs, and graph operations has been computed, that have been applied to compute the Y-index for Nanotube and Nano-torus. Also the strong/good correlation coefficient between the Y-index and some physical and chemical properties as Acentric factor (Acenfac), Entropy (S),Enthalpy of vaporization (HVAP) and Standard enthalpy of vaporisation (DHVAP) have been Appeared.

Research paper thumbnail of The Second Hyper-Zagreb Coindex of Chemical Graphs and Some Applications

Journal of Chemistry

The second hyper-Zagreb coindex is an efficient topological index that enables us to describe a m... more The second hyper-Zagreb coindex is an efficient topological index that enables us to describe a molecule from its molecular graph. In this current study, we shall evaluate the second hyper-Zagreb coindex of some chemical graphs. In this study, we compute the value of the second hyper-Zagreb coindex of some chemical graph structures such as sildenafil, aspirin, and nicotine. We also present explicit formulas of the second hyper-Zagreb coindex of any graph that results from some interesting graphical operations such as tensor product, Cartesian product, composition, and strong product, and apply them on a q-multiwalled nanotorus.

Research paper thumbnail of Second Hyper-Zagreb Index of Titania Nanotubes and Their Applications

IEEE Access

Topological index is a numerical descriptor of a molecule, based on a certain topological feature... more Topological index is a numerical descriptor of a molecule, based on a certain topological feature of the corresponding molecular graph, it is found that there is a strong correlation between the properties of chemical compounds and their molecular structure. In the other side, titania nanotube is a well-known semiconductor and has numerous technological applications such as biomedical devices, dye-sensitized solar cells, and etc. In this paper, the second Hyper-Zagreb index and their coindex of Titania nanotubes have been computed. Furthermore, strong correlation coefficients between second Hyper-Zagreb index and some physicochemical properties such as Density (DENS), Molar volume (MV), Acentric factor (Acenfac) and Entropy (S) have been Appeared. INDEX TERMS Second hyper-Zagreb coindex, second hyper-Zagreb index, titania nanotube, Zagreb indices. ABDU ALAMERI was born in Bani Amer, Taiz, Yemen. He received the bachelor's degree in mathematics and physics and the master's degree in applied mathematics from Taiz University, and the Ph.D. degree in discrete mathematics from the

Research paper thumbnail of A note on Topological indices and coindices of disjunction and symmetric difference of graphs

Discrete Applied Mathematics

Research paper thumbnail of The forgotten index of complement graph operations and its applications of molecular graph

Open Journal of Discrete Applied Mathematics

A topological index of graph \(G\) is a numerical parameter related to graph which characterizes ... more A topological index of graph \(G\) is a numerical parameter related to graph which characterizes its molecular topology and is usually graph invariant. Topological indices are widely used to determine the correlation between the specific properties of molecules and the biological activity with their configuration in the study of quantitative structure-activity relationships (QSARs). In this paper some basic mathematical operations for the forgotten index of complement graph operations such as join \(\overline {G_1+G_2}\), tensor product \(\overline {G_1 \otimes G_2}\), Cartesian product \(\overline {G_1\times G_2}\), composition \(\overline {G_1\circ G_2}\), strong product \(\overline {G_1\ast G_2}\), disjunction \(\overline {G_1\vee G_2}\) and symmetric difference \(\overline {G_1\oplus G_2}\) will be explained. The results are applied to molecular graph of nanotorus and titania nanotubes.